AQA M1 2011 January — Question 8

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2011
SessionJanuary
TopicMotion on a slope

8 A van, of mass 2000 kg , is towed up a slope inclined at \(5 ^ { \circ }\) to the horizontal. The tow rope is at an angle of \(12 ^ { \circ }\) to the slope. The motion of the van is opposed by a resistance force of magnitude 500 newtons. The van is accelerating up the slope at \(0.6 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
\includegraphics[max width=\textwidth, alt={}, center]{f30b02da-a41e-44cb-b45f-9e6a3a9d0528-22_269_991_513_529} Model the van as a particle.
  1. Draw a diagram to show the forces acting on the van.
  2. Show that the tension in the tow rope is 3480 newtons, correct to three significant figures.